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Aggregated Teletraffic Models with Long-range Dependence

[ctimes, cval]=linjpcut(jmpti... LINJPCUT Truncate piecewise linear functions at a given time.
[ctimes, cval]=staircut(jmpti... STAIRCUT Truncate piecewise constant functions at a given time.
[ctimes, le_ij, cle_ij, exi, ... STTIMESCUT Truncate nondecreasing sequences at a given point.
countpath(cdir) COUNTPATH add the counting processes and random number
distrmu(distr, dpar) DISTRMU a table-lookup function. For a given handle to an external
distrstat(distr, dpar)
lracc(sc_type, alpha, refvar,... LRACC Compute the "acceleration factor": the ratio between
lrscales(sc_type, alpha, refv... LRSCALES Compute the time and space scales according to the
onoff(nproc, maxtime, on_dist... ONOFF generate N independent stationary on-off processes. An
rencount(nproc, maxtime, dist... % RENCOUNT Simulate independent renewal counting processes
renewpp(nproc, maxtime, distr... RENEWPP Generate a matrix of N independent renewal point
renrew(nproc, maxtime, ren1_d... % RENREW Generate N independent renewal reward processes
renuni(nproc, maxtime) RENUNI Generate a matrix of N independent renewal counting
scalemginfty(sc_type, lambda,... SCALEMGINFTY Simulate the rescaled and centered cumulative
scaleonoff(sc_type, maxtime, ... SCALEONOFF Simulate a rescaled and centered sum of integrated
scaleren(sc_type, alpha, ren_... SCALEREN Simulate a rescaled and centered sum of independent
servpath(sdir) SERVPATH add the counting processes and random number
simbinom(npoints, n, p) SIMBINOM random numbers from binomial distribution
simdiscr(npoints, pdf, val) SIMDISCR random numbers from a discrete random
simexp(M, N, lambda) SIMEXP random numbers from exponential distribution
simgeom(npoints, p) SIMGEOM random numbers from geometric distribution
simlinear(M, N)
simmd1(tmax, lambda) SIMMD1 simulate a M/D/1 queueing system. Poisson arrivals
simmg1(tmax, lambda) SIMMG1 simulate a M/G/1 queueing system. Poisson arrivals
simmginfty(tmax, lambda) SIMMGINFTY simulate a M/G/infinity queueing system. Arrivals are
simmm1(n, lambda, mu) SIMMM1 simulate a M/M/1 queueing system. Poisson arrivals of
simpareto(M, N, alpha) SIMPARETO random numbers from Pareto distribution:
simparetonrm(M, N, alpha, gam... SIMPARETONRM Generate a matrix of random numbers from the
simstmginfty(maxtime, lambda,... SIMSTMGINFTY generate the system size process in a stationary
stairintegr(jptimes, fval, st... % STAIRINTEGR Integrate piecewise constant (stair) functions. The results
stairsum(jmptimes, fval) % STAIRSUM Add piecewise constant (stair) functions.
stintresc(jmptimes, fval, ... STINTRESC Integrate and rescale a piecewice constant function:
strescint(jmptimes, fval, ... STRESCINT Rescale and integrate a piecewice constant function:
stsumplot(jptimes, fval, stim... STSUMPLOT Plot piecewise constant functions and their sum. The
telepath(tdir) TELEPATH add the teletraffic models directories to the path.
simgeod1.m
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Aggregated Teletraffic Models with Long-range Dependence

by Ingemar Kaj Raimundas Gaigalas

06 Jan 2006 (Updated 10 Jan 2006)

Simulates aggregated teletraffic: infinite source Poisson model, on-off model, sum of renewal proc

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Description

Simulate and visualize three models for aggregated telecommunications traffic with long-range dependence: superposition of renewal processes, infinite source Poisson (M/G/Infinity) model and integrated sum of on-off processes. The simulations illustrate known limit results for the models.

Under three different scaling conditions the models can be approximated by one of fractional Brownian motion, stable Levy motion or the third process. For detailed documentation see

http://www.math.uu.se/research/telecom/software/

MATLAB release

MATLAB 6.5 (R13)

Tags for This File
Everyone's Tags	infinite source poisson model, probability, statistics, sum of onoff processes, traffic simulation
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Updates
10 Jan 2006	Changed default parameter values in scaleren.m, corrected the help part in lracc.m, corrected the description

Tag Activity for this File
Tag	Applied By	Date/Time
statistics	Ingemar Kaj Raimundas Gaigalas	22 Oct 2008 08:11:34
probability	Ingemar Kaj Raimundas Gaigalas	22 Oct 2008 08:11:34
sum of onoff processes	Ingemar Kaj Raimundas Gaigalas	22 Oct 2008 08:11:34
infinite source poisson model	Ingemar Kaj Raimundas Gaigalas	22 Oct 2008 08:11:34
traffic simulation	Daniel Rabinovich	07 Feb 2010 18:55:31

Highlights from Aggregated Teletraffic Models with Long-range Dependence

Aggregated Teletraffic Models with Long-range Dependence

Highlights from
Aggregated Teletraffic Models with Long-range Dependence